Answer:
[tex]-5\frac{2}{8}>-5\frac{7}{8}[/tex]
Step-by-step explanation:
Given:
The given mixed fractions are:
[tex]-5\frac{2}{8}\ and\ -5\frac{7}{8}[/tex]
Both the mixed fractions have the whole part same as -5. Now, in order to compare the two, we have to compare their fractional parts [tex]\frac{2}{8}[/tex] and [tex]\frac{7}{8}[/tex].
As the denominators of both the fractions are same and equal to 8.
For same denominators of two positive fractions, the numerator with a greater value has a larger fraction.
For same denominators of two negative fractions, the numerator with a smaller value has a larger fraction.
Here, both the fractions are negative, so the numerator that is smaller has the larger fraction.
Here, 2 is less than 7. So, the fraction [tex]-5\frac{2}{8}[/tex] is greater than that of [tex]-5\frac{7}{8}[/tex].
Therefore, [tex]-5\frac{2}{8}>-5\frac{7}{8}[/tex]
